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Everything posted by Didumos69
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Platonic Solids
Didumos69 replied to DrJB's topic in LEGO Technic, Mindstorms, Model Team and Scale Modeling
The same way of stacking is visible in this 'cloud': When using the same pattern with longer axles (32L) for the slanted connections inside the primitive (not between primitives), then you get this. The primitive has progressed towards a octahedron and the small squares have become long rectangles. Inbetween the octahedra you can see the (red) tetrahedra with paired edges (LXF-file). -
Platonic Solids
Didumos69 replied to DrJB's topic in LEGO Technic, Mindstorms, Model Team and Scale Modeling
Thanks, I appreciate your kind reference. In fact it was the (space filling) truncated octahedron honeycomb that served as a primitive for this. Only the square faces are rotated 45 degrees. The gaps between the primitives have the same shape as the primitive itself. But you're right. When you untruncate the primitives, they become octahedra and the gaps between the primitives become tetrahedra. However to obtain this, as opposed to the attempt by @DrJB, you still need to align the octahedra as balls would be aligned in a (square) pyramid of balls: -
Platonic Solids
Didumos69 replied to DrJB's topic in LEGO Technic, Mindstorms, Model Team and Scale Modeling
Nice! The same should work for your real life tetrahedron. -
Platonic Solids
Didumos69 replied to DrJB's topic in LEGO Technic, Mindstorms, Model Team and Scale Modeling
I was already thinking that if the tetrahedron could be filled completely with smaller ones, all with same size, it would mean that one should be able to fill space with tetrahedrons alone, as multiple instances of the tetrahedron filled with smaller ones would fill a bigger one and so on, and I was quite sure that would not be possible. Filling space with tetrahedrons and octahedrons would be a nice starting point for a 3D pattern with 2 different molecules in the chemistry lab . -
Thanks for the offer @Blakbird! It would be great if you could help. I don't have the teardown photos yet. I plan to get to it as soon as possible, but it will probably take weeks to make them all. I assume your intention is to continue with the file provided by @BusterHaus. Perhaps I should focus on specific submodels to start with? I know that @BusterHaus did a lot of sequencing already, so I hope he can provide more details on what still needs to be done. I also have a LXF-file with the rough teardown steps in terms of groups. If that's useful, please let me know. Too bad about the 34 bushes, but I'm sure they will be used some day .
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Platonic Solids
Didumos69 replied to DrJB's topic in LEGO Technic, Mindstorms, Model Team and Scale Modeling
I would be curious to know how. You can put smaller tetrahedons - with half-length edges - in the corners of the containing one, but the remaining space is an octahedron. -
Platonic Solids
Didumos69 replied to DrJB's topic in LEGO Technic, Mindstorms, Model Team and Scale Modeling
There is a relation between the tetrahedron and the cube though: You can build a tetrahedron from six diagonals of a cube, which is where my tetrahedron above is based on: -
Platonic Solids
Didumos69 replied to DrJB's topic in LEGO Technic, Mindstorms, Model Team and Scale Modeling
It is in fact the cube and the octahedron that are mutuals of one another. In this respect the tetrahedron is a mutual of itself. -
Platonic Solids
Didumos69 replied to DrJB's topic in LEGO Technic, Mindstorms, Model Team and Scale Modeling
As some of you may know I like to build 'in system'. Here's my go at the tetrahedron: -
I counted 34 black bushings in my latest LXF-file. 8 could be replaced with LBG bushings, 1 could be replaced with a black perpendicular axle-pin connector, 2 could be replaced with black #1 connectors and 19 could be replaced with the new black 1L liftarms (which indeed look better @Appie), without doing any harm to the black part of the bodywork. This leaves 4 black bushings. With these changes (LXF-file here), the parts list boils down to these 2744 parts. This might change during the process of making instructions. @BusterHaus, I could make available a tear down photo sequence on rebrickable first (which matches the high-level sequencing of your work). We can add the PDF-instructions once they are finished. What are your thoughts? A photo sequence would still take me some time of course.
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Great to see this end up in a WIP topic! A lot of function and I love to see someone else building such a rigid chassis . Well done! I would like to see more details of the motorized sequential shifter .
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- robust chassis
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Interesting ideas @agrof, I will study them a little better after the weekend. I hope to see more!
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Wow, thank you very much @Blakbird ! I especially like the drivers view, including rear view mirror . The outside corresponds with the latest version, that's for sure. Great job!
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It still connects to 6 neighbors just like all the others so far and it troubles me that it doesn't fit perfectly, but it's intriguing nevertheless . I finally managed to make one that has more than six connected neighbors; in this one a fully embedded molecule has 12 connected neighbors, each one connected with two connections:
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This can actually be build, but so far I can't get a pattern out of it .
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Some nice examples once again @aeh5040! @Victor Imaginator, I took your attempt and tried to make it work in all dimensions. This is how it can be done and I think this can actually be build (LXF-file here). It's also a variation on the 'single part'-pattern I posted yesterday. And it can be made less dense by using longer axles, here's a variation with 5L axles:
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I just renamed this thread as it evolves into a wave of primitives and patterns that all take part of something I would like to refer to as The LEGO Molecular System, with LEGO parts being the 'elements', the primitive compounds being the 'molecules' and the generated (potentially) infinite patterns being 'matter'. Of course these LEGO molecules may represent real molecular counterparts, but they don't need to. It's The LEGO Molecular System ! Nice idea @masterX244! @agrof, I'm afraid you covered a few pins too many. A fully surrounded 'molecule' is connected to 6 neighbors, each with 2 pin-pinhole connections. These renders illustrate how a fully surrounded primitive (green) is embedded (LXF-file here):
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Given the examples shown so far I reckon I would need a part with at least two holes and two pins to make a valid pattern with only one part. There was only one part I could think of and yes, it is possible. And indeed it uses two holes and two pins of each part: Let's call the part I use the element H, then the molecule is H6. One problem; I don't see a way to build this. I will try to make it less dense. LXF-file here.
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Cool! Indeed very addictive! In fact we are creating our own molecular system here, with LEGO parts being the elements, the primitives being the molecules and the generated infinite patterns being the matter.
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When it comes to smallness, I think we have a winner . Although one could argue that it is not exactly the same in all dimensions. But I like it anyway. Yea, I was already looking into space filling polyhedra to get some inspiration, especially the ones that are the same in all dimensions. For instance the truncated octahedron, to see whether @agrof's hexagon could be incorporated, but i haven't figured that out yet. That would be a nice quest !
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I thought somebody stole my idea, but he actually referenced my stepper as a source of inspiration. I didn't see that right away. Thumbs up !
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- limiter
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Indeed it would. If you build row by row, then layer by layer, it would be buildable. I will.
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